249576804 has 27 divisors (see below), whose sum is σ = 631114393. Its totient is φ = 83160672.

The previous prime is 249576797. The next prime is 249576827. The reversal of 249576804 is 408675942.

It is a happy number.

The square root of 249576804 is 15798.

It is a perfect power (a square), and thus also a powerful number.

249576804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40832100 + 208744704 = 6390^2 + 14448^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249576804.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93472 + ... + 96104.

Almost surely, 2^249576804 is an apocalyptic number.

249576804 is the 15798-th square number.

It is an amenable number.

249576804 is an abundant number, since it is smaller than the sum of its proper divisors (381537589).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249576804 is an equidigital number, since it uses as much as digits as its factorization.

249576804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 249576804 is about 629.6048618192.

The spelling of 249576804 in words is "two hundred forty-nine million, five hundred seventy-six thousand, eight hundred four".